• Set up a definite integral to find the arc length along the path of the curve fort=0..1. Use Desmos to evaluate the definite integral. Utilize Desmos to evaluate the definite integral.
• Set up a definite integral to find the area of the surface of revolution formed by revolving the curve fort=0..1about thex-axis. Utilize Desmos to evaluate the definite integral.

a: 2 b= 1 cel f = 1 X cto - X 2 : 3+ ( - 4 ) AND YCH = , = ( - 4 )0 + a X= 3 + ( - + ) ? AND Y = ( - + )+ 2 FIND TANGENT AY 7:0 ( 3 , 2 ) X = 3 + ( 0 ) ? = 3 4 : 2- ( 0 ) = 2 M ( to ) = /x ( t-to ), dy / d x = ] x / d+ x / d+ ( + + 3 ) = / + ( + ? ) + 4 ( 3 ) = 2 + + 0 = ? + SUM / DIFFERENCE CONSTANT RULE Jx / At ( 2 - 4 ) = /2 + ( 2 ) - / 4 ( + ) = 0 - 1 = - SUN/ DIFFERENCE CONSTAN COMMON by / fx = - /2+ = M ( to ) = > INFINITE SCOPE AT 4:0 -2 TANGENT LINE IS X = 3 OR X = 3, y = +Parametric Equations Discussion ac ( it ) bid ( 2 , 0 ) Xogg = X = In ( l t t ) and you = 4 = ( t ) - tangent like at t= 0 in slope-intercept or using parametric equations * = In ( 1+t ) y= (t ) 1 = 0 X = In (1 +0 ) y = ( 0 ) 3 = 0 X = In 1 = 0 ( 0, 0 ) dx 1 dt It t dy - 3t dt dy /at 3t 2 = (3 + 2 ( Ist ) parametoc dx / at 3 ( 0 ) 2 ( 1 + 0 ) = 0 y = D slope - intercept